10-7(3-x)+5=3+2x

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Solution for 10-7(3-x)+5=3+2x equation:


Simplifying
10 + -7(3 + -1x) + 5 = 3 + 2x
10 + (3 * -7 + -1x * -7) + 5 = 3 + 2x
10 + (-21 + 7x) + 5 = 3 + 2x

Reorder the terms:
10 + -21 + 5 + 7x = 3 + 2x

Combine like terms: 10 + -21 = -11
-11 + 5 + 7x = 3 + 2x

Combine like terms: -11 + 5 = -6
-6 + 7x = 3 + 2x

Solving
-6 + 7x = 3 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-6 + 7x + -2x = 3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-6 + 5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 5x = 3 + 0
-6 + 5x = 3

Add '6' to each side of the equation.
-6 + 6 + 5x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 3 + 6
5x = 3 + 6

Combine like terms: 3 + 6 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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